Details

Time bar (total: 25.8s)

sample267.0ms

Algorithm
intervals
Results
94.0ms99×body1280valid
89.0ms96×body640valid
37.0ms262×body80valid
17.0ms35×body320valid
7.0ms22×body160valid

simplify7.8s

Counts
1 → 1
Iterations
IterNodes
112238
101646
91356
81065
7920
6799
5382
4205
3115
262
127
011

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma 0.5 (exp im) (/ 0.5 (exp im)))
0.0b
(* (fma 0.5 (exp im) (/ 0.5 (exp im))) (sin re))
0.0b
(/ 0.5 (exp im))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×*-un-lft-identity add-cube-cbrt
9×times-frac
7×add-cbrt-cube
6×add-exp-log
5×pow1
3×expm1-log1p-u associate-/r* associate-*r* associate-*l* insert-posit16 log1p-expm1-u associate-/l* add-log-exp
1×cbrt-undiv clear-num frac-2neg div-exp pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef div-inv unswap-sqr
Counts
3 → 62
Calls
3 calls:
0.0ms
(fma 0.5 (exp im) (/ 0.5 (exp im)))
8.0ms
(* (fma 0.5 (exp im) (/ 0.5 (exp im))) (sin re))
7.0ms
(/ 0.5 (exp im))

series205.0ms

Counts
3 → 9
Calls
3 calls:
72.0ms
(fma 0.5 (exp im) (/ 0.5 (exp im)))
107.0ms
(* (fma 0.5 (exp im) (/ 0.5 (exp im))) (sin re))
27.0ms
(/ 0.5 (exp im))

simplify3.4s

Counts
71 → 71
Iterations
IterNodes
47703
31565
2546
1240
0117

prune757.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma (exp im) (sin re) (/ (sin re) (exp im)))
0.0b
(/ (sin re) (exp im))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×times-frac
4×add-cbrt-cube
3×associate-/r* add-exp-log associate-/l*
2×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u add-log-exp
1×cbrt-undiv clear-num frac-2neg div-exp fma-udef div-inv
Counts
2 → 41
Calls
2 calls:
0.0ms
(fma (exp im) (sin re) (/ (sin re) (exp im)))
10.0ms
(/ (sin re) (exp im))

series175.0ms

Counts
2 → 6
Calls
2 calls:
122.0ms
(fma (exp im) (sin re) (/ (sin re) (exp im)))
53.0ms
(/ (sin re) (exp im))

simplify1.0s

Counts
47 → 47
Iterations
IterNodes
42876
31004
2408
1157
082

prune489.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (sin re)))
0.0b
(* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (sin re))
0.0b
(/ 0.5 (exp im))
0.0b
(/ 0.5 (exp im))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
25×*-un-lft-identity add-cube-cbrt
18×times-frac
15×add-cbrt-cube
13×add-exp-log
12×associate-*l*
11×pow1
7×sqrt-prod
6×associate-/r* associate-/l*
4×expm1-log1p-u associate-*r* pow-prod-down prod-exp cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
2×cbrt-undiv clear-num frac-2neg div-exp *-commutative div-inv unswap-sqr
Counts
4 → 109
Calls
4 calls:
46.0ms
(* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (sin re)))
22.0ms
(* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (sin re))
5.0ms
(/ 0.5 (exp im))
5.0ms
(/ 0.5 (exp im))

series314.0ms

Counts
4 → 12
Calls
4 calls:
133.0ms
(* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (sin re)))
150.0ms
(* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (sin re))
14.0ms
(/ 0.5 (exp im))
16.0ms
(/ 0.5 (exp im))

simplify754.0ms

Counts
121 → 121
Iterations
IterNodes
32186
2749
1309
0139

prune1.4s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes143.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
29
19
08

end0.0ms

sample9.0s

Algorithm
intervals
Results
3.6s3021×body1280valid
2.3s2453×body640valid
1.3s8448×body80valid
710.0ms655×body160valid
666.0ms1280×body320valid